3653928 has 48 divisors (see below), whose sum is σ = 10420800. Its totient is φ = 1153440.

The previous prime is 3653911. The next prime is 3653959. The reversal of 3653928 is 8293563.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3653892 and 3653901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (217100).

Almost surely, 2^3653928 is an apocalyptic number.

3653928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3653928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210400).

3653928 is an abundant number, since it is smaller than the sum of its proper divisors (6766872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3653928 is a wasteful number, since it uses less digits than its factorization.

3653928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2695 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3653928 is about 1911.5250456115. The cubic root of 3653928 is about 154.0233843165.

The spelling of 3653928 in words is "three million, six hundred fifty-three thousand, nine hundred twenty-eight".